Electromagnetic WavesMedium
Question
An electromagnetic wave travels in free space along the $x$-direction. At a particular point in space and time, $\overrightarrow{B} = 2 \times 10^{- 7}\widehat{j}T$ is associated with this wave. The value of corresponding electric field $\overrightarrow{E}$ at this point is $\_\_\_\_$ $V/m$.
Options
A.60 k
B.$- 60\widehat{k}$
C.30 k
D.$- 600\widehat{k}$
Solution
Sol. [Key Concept: For an EM wave $E = cB$; its direction is fixed by the propagation vector, with $E$ along $B \times$ (direction of propagation).]
$${\overrightarrow{E} = \overrightarrow{B} \times \overrightarrow{C} }{= 2 \times 10^{- 7}\widehat{j} \times 3 \times 10^{8}\widehat{i} }{\overrightarrow{E} = - 60\widehat{k}V/m }$$
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